y = px²+12x+9 has real roots. What is the range for the value of p?

p<4

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p≤ 1/4

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p≤4

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p≤ 3/4

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p> 4

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Solution

The correct option is C p≤4
Option (c)
Since the condition D≥0 is given (as the roots are real), we will find the value of p using this condition
D= b²-4ac≥0
12²-(4xpx9) ≥0
144-36p≥0
144≥36p
p≤4

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